Identify the postulate that proves the triangles are congruent.

Mathematics

1 answer:

Ratling [72]3 years ago

6 0

Answer:

ASA

Step-by-step explanation:

Triangle ABD is congruent to triangle BDC by ASA because angle B in ABD is 30 degrees. Then they give you BD which equals BD by the reflexive property. And finally angle D in ABD is also 30 degrees. In triangle BCD, angle B is 30 degrees, BD = BD, and angle D in BCD is 30 degress. So we have an angle (B), side (BD), and another angle (D)

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The profit of a company receives is given by the expression 0.15(855p - 315) where p is the number of problems sold. Rewrite thi

Goryan [66]

The profit for 25 products sold and 150 products sold are 3159 and 19190.25 respectively.

Explanation

The profit of a company receives is given by the expression: $0.15(855p - 315)$

Simplifying this expression using distributive property, we will get .....

$0.15(855p - 315) \\ \\ = (0.15*855p)-(0.15*315)\\ \\ =128.25p-47.25$

So, the simplified expression for profit will be: $128.25p-47.25$

As $p$ represents the number of products sold, so for finding the profit for 25 products sold and 150 products sold, we need plug $p=25$ and $p=150$ separately into the above expression.